P. Khanenko, D. Hafner, K. Semeniuk, J. Banda, T. Lühmann, F. Bärtl, T. Kotte, J. Wosnitza, G. Zwicknagl, C. Geibel, J. F. Landaeta, S. Khim, E. Hassinger, M. Brando
{"title":"Origin of the non-Fermi-liquid behavior in CeRh2As2","authors":"P. Khanenko, D. Hafner, K. Semeniuk, J. Banda, T. Lühmann, F. Bärtl, T. Kotte, J. Wosnitza, G. Zwicknagl, C. Geibel, J. F. Landaeta, S. Khim, E. Hassinger, M. Brando","doi":"10.1103/physrevb.111.045162","DOIUrl":null,"url":null,"abstract":"Unconventional superconductivity in heavy-fermion systems appears often near magnetic quantum critical points (QCPs). This seems to be the case also for CeRh</a:mi>2</a:mn></a:msub>As</a:mi>2</a:mn></a:msub></a:mrow></a:math> (<b:math xmlns:b=\"http://www.w3.org/1998/Math/MathML\"><b:msub><b:mi>T</b:mi><b:mtext>c</b:mtext></b:msub><b:mo> </b:mo><b:mo>≈</b:mo><b:mn>0.31</b:mn></b:math> K). <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\"><c:mrow><c:msub><c:mi>CeRh</c:mi><c:mn>2</c:mn></c:msub><c:msub><c:mi>As</c:mi><c:mn>2</c:mn></c:msub></c:mrow></c:math> shows two superconducting (SC) phases, SC1 and SC2, for a magnetic field along the <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\"><d:mi>c</d:mi></d:math> axis of the tetragonal unit cell, but only the SC1 phase is observed for a field along the basal plane. Furthermore, another ordered state (phase I) is observed below <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\"><e:mrow><e:msub><e:mi>T</e:mi><e:mn>0</e:mn></e:msub><e:mo>≈</e:mo><e:mn>0.48</e:mn><e:mspace width=\"0.16em\"/><e:mi mathvariant=\"normal\">K</e:mi></e:mrow></e:math> whose nature is still unclear: Thermodynamic and magnetic measurements pointed to a nonmagnetic multipolar state, but recent <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\"><h:mrow><h:mi>µ</h:mi><h:mi>SR</h:mi></h:mrow></h:math> and nuclear quadrupole resonance/nuclear magnetic resonance (NMR) experiments have clearly detected antiferromagnetic (AFM) order below <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\"><i:msub><i:mi>T</i:mi><i:mtext>0</i:mtext></i:msub></i:math>. Also, quasi-two-dimensional AFM fluctuations were observed in NMR and neutron-scattering experiments above <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\"><j:msub><j:mi>T</j:mi><j:mtext>0</j:mtext></j:msub></j:math>. The proximity of a QCP is indicated by non-Fermi-liquid (NFL) behavior observed above the ordered states in both specific heat <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\"><k:mrow><k:mi>C</k:mi><k:mrow><k:mo>(</k:mo><k:mi>T</k:mi><k:mo>)</k:mo></k:mrow><k:mo>/</k:mo><k:mi>T</k:mi><k:mo>∝</k:mo><k:msup><k:mi>T</k:mi><k:mrow><k:mo>−</k:mo><k:mn>0.6</k:mn></k:mrow></k:msup></k:mrow></k:math> and resistivity <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\"><l:mrow><l:mi>ρ</l:mi><l:mrow><l:mo>(</l:mo><l:mi>T</l:mi><l:mo>)</l:mo></l:mrow><l:mo>∝</l:mo><l:msqrt><l:mi>T</l:mi></l:msqrt></l:mrow></l:math>. These <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"><m:mi>T</m:mi></m:math> dependencies are not compatible with any generic AFM QCP. Because of the strong magnetic-field anisotropy of both the SC phase and phase I, it is possible to study a field-induced SC QCP as well as a phase-I QCP by varying the angle <n:math xmlns:n=\"http://www.w3.org/1998/Math/MathML\"><n:mi>α</n:mi></n:math> between the field and the <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\"><o:mi>c</o:mi></o:math> axis. Thus, by examining the behavior of the electronic specific-heat coefficient <p:math xmlns:p=\"http://www.w3.org/1998/Math/MathML\"><p:mrow><p:mi>C</p:mi><p:mo>(</p:mo><p:mi>T</p:mi><p:mo>)</p:mo><p:mo>/</p:mo><p:mi>T</p:mi></p:mrow></p:math> across these QCPs, we can determine which phase is associated with the NFL behavior. Here, we present low-temperature specific-heat measurements taken in a magnetic field as high as 21 T applied at several angles <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\"><q:mi>α</q:mi></q:math>. We observe that the NFL behavior very weakly depends on the field and the angle <r:math xmlns:r=\"http://www.w3.org/1998/Math/MathML\"><r:mi>α</r:mi></r:math>, a result that is at odds with observations in standard magnetic QCPs. This suggests a nonmagnetic origin of the quantum critical fluctuations. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":"74 1","pages":""},"PeriodicalIF":3.7000,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevb.111.045162","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
Unconventional superconductivity in heavy-fermion systems appears often near magnetic quantum critical points (QCPs). This seems to be the case also for CeRh2As2 (Tc≈0.31 K). CeRh2As2 shows two superconducting (SC) phases, SC1 and SC2, for a magnetic field along the c axis of the tetragonal unit cell, but only the SC1 phase is observed for a field along the basal plane. Furthermore, another ordered state (phase I) is observed below T0≈0.48K whose nature is still unclear: Thermodynamic and magnetic measurements pointed to a nonmagnetic multipolar state, but recent µSR and nuclear quadrupole resonance/nuclear magnetic resonance (NMR) experiments have clearly detected antiferromagnetic (AFM) order below T0. Also, quasi-two-dimensional AFM fluctuations were observed in NMR and neutron-scattering experiments above T0. The proximity of a QCP is indicated by non-Fermi-liquid (NFL) behavior observed above the ordered states in both specific heat C(T)/T∝T−0.6 and resistivity ρ(T)∝T. These T dependencies are not compatible with any generic AFM QCP. Because of the strong magnetic-field anisotropy of both the SC phase and phase I, it is possible to study a field-induced SC QCP as well as a phase-I QCP by varying the angle α between the field and the c axis. Thus, by examining the behavior of the electronic specific-heat coefficient C(T)/T across these QCPs, we can determine which phase is associated with the NFL behavior. Here, we present low-temperature specific-heat measurements taken in a magnetic field as high as 21 T applied at several angles α. We observe that the NFL behavior very weakly depends on the field and the angle α, a result that is at odds with observations in standard magnetic QCPs. This suggests a nonmagnetic origin of the quantum critical fluctuations. Published by the American Physical Society2025
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